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Finding the Fourth Proportional to 10,244.25, 14,137.02 and 5,768.01

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Solution

The fourth proportional to 10,244.25, 14,137.02 and 5,768.01 is: 7,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.25 : 14,137.02 = 5,768.01 : x
  2. Step 2: Convert to fraction form
    10,244.25/14,137.02 = 5,768.01/x
  3. Step 3: Cross multiply
    10,244.25x = 14,137.02 × 5,768.01
  4. Step 4: Simplify right side
    10,244.25x = 81,542,472.73
  5. Step 5: Solve for x
    x = 81,542,472.73/10,244.25
  6. Step 6: Final answer
    x = 7,959.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.